enEnglishguગુજરાતી
GUJCET · Maths · Application of Integrals
The Area of the region bounded by curve \(y^2=4 x\), Y-axis and line \(y=3\) is __________ sq. units.
- A 2
- B \(\frac{9}{4}\)
- C \(\frac{9}{3}\)
- D \(\frac{9}{8}\)
Answer & Solution
Correct Answer
(B) \(\frac{9}{4}\)
Step-by-step Solution
Detailed explanation
Area \(A = \int_{0}^{3} \frac{y^2}{4} \, dy\) \(A = \frac{1}{4} \left[ \frac{y^3}{3} \right]_{0}^{3}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(x+1=e^{-y}\) then, \(\frac{d^2 y}{d x^2}=\) _________GUJCET 2021 Easy
- If \(\left|\begin{array}{lll}1! & 2! & 3! \\ 2! & 3! & 4! \\ 3! & 4! & 5!\end{array}\right|=2016 k\) then, \(k=\) ____________GUJCET 2019 Easy
- The Area of the region bounded by parabola \(y^2=8 x\) and its latus rectum is _________ sq. units.GUJCET 2010 Easy
- The Maximum value of \(Z = 3 x+ 4 y\) subject to the constraints \(x+y \leq 4, x \geq 0, y \geq 0\) is _________ .GUJCET 2020 Hard
- If \(\left|\begin{array}{cc}\sin ^2 \theta & \cos ^2 \theta \\ -\cos ^2 \theta & \sin ^2 \theta\end{array}\right|=\) _________.GUJCET 2019 Hard
- \(\cos \left(\sin ^{-1} \frac{1}{5}+\cos ^{-1} x\right)=0 \text { then, } x=\) ____________ .GUJCET 2022 Hard
More PYQs from GUJCET
- If \(k=p+q+r\) then the value of \(\left|\begin{array}{ccc}k+r & p & q \\ r & k+p & q \\ r & p & k+q\end{array}\right|\) is equal to _________.GUJCET 2017 Hard
- Area of the region bounded by curve \(y^2=x, X\)-axis and lines \(x=1\) and \(x=4\) in first quadrant is __________ sq. units.GUJCET 2021 Medium
- The dimensional formula of \(k\) (coulomb's constant) is ________.
(Take I as dimension of current.)GUJCET 2016 Hard - If a double stranded DNA has \(30 \%\) adenine, so what is the percent of cytosine at the same DNA ?GUJCET 2024 Easy
- What type of protein rich milk is found in the first transgenic cow 'Rosie'?GUJCET 2020 Medium
- \(\int \sqrt{\frac{\cos x-\cos ^3 x}{1-\cos ^3 x}} d x=\) __________ \(+C\).GUJCET 2022 Hard